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Finding the Third Proportional to 168,086 and 358,634

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Solution

The third proportional to 168,086 and 358,634 is: 765,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,086 : 358,634 = 358,634 : x
  2. Step 2: Convert to fraction form
    168,086/358,634 = 358,634/x
  3. Step 3: Cross multiply
    168,086x = 358,634 × 358,634
  4. Step 4: Simplify right side
    168,086x = 128,618,345,956
  5. Step 5: Solve for x
    x = 128,618,345,956/168,086
  6. Step 6: Final answer
    x = 765,193.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.